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ω-pluripolar sets and subextension of ω-plurisubharmonic functions on compact Kähler manifolds

ω-pluripolar sets and subextension of ω-plurisubharmonic functions on compact Kähler manifolds

We establish some results on $\omega$-pluripolarity and complete $\omega$-pluripolarity for sets in a compact Kähler manifold $X$ with fundamental form $\omega$. Moreover, we study subextension of $\omega$-psh functions on a hyperconvex domain in $X$ and